1880 reproduced in volume V of his collected works, page 455 Hilbert's twelfth problem is the extension of the Kronecker–Weber theorem on abelian extensions...

Hilbert's ninth problem, from the list of 23 Hilbert's problems (1900), asked to find the most general reciprocity law for the norm residues of k-th order...

make up Hilbert's eighth problem in David Hilbert's list of twenty-three unsolved problems; it is also one of the Millennium Prize Problems of the Clay...

Hazewinkel (1975), Rosen (1981) and Lubin (1981) gave other proofs. Hilbert's twelfth problem asks for generalizations of the Kronecker–Weber theorem to nonabelian...

number field, where k {\displaystyle k} is a power of a prime. Hilbert's twelfth problem: extend the Kronecker–Weber theorem on Abelian extensions of Q...

Its importance arises, for instance, from its connection with Hilbert's twelfth problem. Let K/k be an abelian extension of global fields, and let S be...

multiplication. To this day this remains one of the few cases of Hilbert's twelfth problem which has actually been solved. An example of an elliptic curve...

system to compute Hilbert class fields of totally real number fields, and the conjectures provide one solution to Hilbert's twelfth problem, which challenged...

discovered with Hilbert's twelfth problem. Unsolved problem in mathematics Do SIC-POVMs exist in all dimensions? More unsolved problems in mathematics...

one say for general N {\displaystyle N} ? Hilbert's problems Thurston's 24 questions List of unsolved problems in mathematics Wiles's proof of Fermat's...

Millennium Prize Problems Simon problems Taniyama's problems Hilbert's problems Thurston's 24 questions Smale, Steve (1998). "Mathematical Problems for the Next...

fields. Such systems have been studied for their connection with Hilbert's Twelfth Problem. In the case of a Bost–Connes system over Q, the absolute Galois...

of St Andrews Schappacher, Norbert (1998), "On the history of Hilbert's twelfth problem: a comedy of errors", Matériaux pour l'histoire des mathématiques...

Both are special cases of Kronecker's Jugendtraum, which became Hilbert's twelfth problem. The field Q ( i , sl ⁡ ( ϖ / n ) ) {\displaystyle \mathbb {Q}...

zur Geschichte der Mathematik 6), pp. 1–82 On the history of Hilbert's twelfth problem, in: Michele Audin (ed.), Matériaux pour l'histoire des mathématiques...

A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. Hindustan Book Agency. p. 84...

Consistency, completeness, Hilbert's program; "Gödel published his work which in some sense completely destroyed Hilbert's program." Ono, Ken (2006)....

youth"), a generalization that was later put forward by Hilbert in a modified form as his twelfth problem. In an 1850 paper, On the Solution of the General...

1800 BC The Akhmim Wooden Tablet The Reisner Papyrus, dated to the early Twelfth dynasty of Egypt and found in Nag el-Deir, the ancient town of Thinis The...

youth"), a generalization that was later put forward by Hilbert in a modified form as his twelfth problem, which outlines a goal to have number theory operate...

on our intuition of space. Such axioms, now known as Hilbert's axioms, were given by David Hilbert in 1894 in his dissertation Grundlagen der Geometrie...

Alpharabius in the tenth century, and later in Christian Europe in the twelfth century with the advent of new logic, remaining dominant until the advent...

circumference of a circle as three times the diameter and the area as one-twelfth the square of the circumference, which would be correct if π is estimated...

Malvolio in the Royal Shakespeare Company's production of Shakespeare's Twelfth Night. Also in 2017, Edmondson appeared as Captain Peavey in the eighth...

the present square root shape. Its usage goes as far as the end of the twelfth century in the works of the Moroccan mathematician Ibn al-Yasamin. The...

(sometimes multiple commentaries by different scholars) that explained the problem in more detail and provided justification for the solution. In the prose...

focused attention increasingly on then-vice-president Mike Pence. The Twelfth Amendment to the United States Constitution requires the President of the...

the earliest surviving exposition appears in Bhāskara II's Bīja-gaṇita (twelfth century). Indian mathematics remained largely unknown in Europe until the...

that much of its material on spherical trigonometry was taken from the twelfth-century work of the Andalusi scholar Jabir ibn Aflah. Leonhard Euler published...

like geometry, arithmetic, analysis and set theory. Most notable was Hilbert's Program, which sought to ground all of mathematics to a finite set of...